Table 2.

Summary of the comparison of the models for different choices of the sensing functions. $✓$ indicates the cases in which the models coincide, while the ones in which the models are different

	${\gamma }_q={\gamma }_{\mathcal{S}}=\gamma =\delta$	${\gamma }_q={\gamma }_{\mathcal{S}}=\gamma \ne \delta$	${\gamma }_q\ne {\gamma }_{\mathcal{S}}$
Meso models (4)-(5)-(14) and (4)-(5)-(15)	$✓$
Macro models case (i): fast $\mathcal{S}$ and q	$✓$
Macro models case (ii): slow $\mathcal{S}$ and q	$✓$	$✓$
Macro models case (iii): fast q and slow $\mathcal{S}$	$✓$
Macro models case (iv): fast $\mathcal{S}$ and slow q	$✓$